ZERO MODES IN A SYSTEM OF AHARONOV–BOHM FLUXES-Reference-Cited by-同舟云学术

ZERO MODES IN A SYSTEM OF AHARONOV–BOHM FLUXES

Published:2004-08 Issue:07 Volume:16 Page:851-907
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

GEYLER V. A.¹,ŠŤOVÍČEK P.²

Affiliation:

1. Department of Mathematics, Mordovian State University, Bolshevistskaya 68, Saransk 430000, Russia

2. Department of Mathematics, Faculty of Nuclear Science, Czech Technical University, Trojanova 13, 120 00 Prague, Czech Republic

Abstract

We study zero modes of two-dimensional Pauli operators with Aharonov–Bohm fluxes in the case when the solenoids are arranged in periodic structures like chains or lattices. We also consider perturbations to such periodic systems which may be infinite and irregular but they are always supposed to be sufficiently scarce.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X04002199

Reference99 articles.

1. The Index of Elliptic Operators: I

2. Ground state of a spin-½ charged particle in a two-dimensional magnetic field

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